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- W1608843585 abstract "We consider an arbitrary polynomial map $f:{mathbb C}^{n+1}to {mathbb C} $ and we study the Alexander invariants of ${mathbb C}^{n+1}setminus X$ for any fiber $X$ of $f$. The article has two major messages. First, the most important qualitative properties of the Alexander modules are completely independent of the behaviour of $f$ at infinity, or about the special fibers. Second, all the Alexander invariants of all the fibers of the polynomial $f$ are closely related to the monodromy representation of $f$. In fact, all the torsion parts of the Alexander modules (associated with all the possible fibers) can be obtained by factorization of a unique universal Alexander module, which is constructed from the monodromy representation. Additionally, the article extends some results of A. Libgober about Alexander modules of hypersurface complements." @default.
- W1608843585 created "2016-06-24" @default.
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- W1608843585 date "2004-01-01" @default.
- W1608843585 modified "2023-09-23" @default.
- W1608843585 title "Hypersurface complements, Alexander modules and monodromy" @default.
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- W1608843585 doi "https://doi.org/10.1090/conm/354/06472" @default.
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